diff --git a/tests/kernels/test_flashinfer.py b/tests/kernels/test_flashinfer.py
index 1db47f8c8c2e0..f109792ad251b 100644
--- a/tests/kernels/test_flashinfer.py
+++ b/tests/kernels/test_flashinfer.py
@@ -4,7 +4,7 @@
 import pytest
 import torch
 
-NUM_HEADS = [(16, 16), (32, 8), (64, 8)]
+NUM_HEADS = [(16, 16), (32, 8), (64, 8), (6, 1)]
 HEAD_SIZES = [128, 256]
 BLOCK_SIZES = [16, 32]
 DTYPES = [torch.float16, torch.bfloat16]
@@ -123,7 +123,10 @@ def test_flashinfer_decode_with_paged_kv(kv_lens: List[int],
 
     workspace_buffer = torch.empty(128 * 1024 * 1024, dtype=torch.int8)
     wrapper = flashinfer.\
-        BatchDecodeWithPagedKVCacheWrapper(workspace_buffer, "NHD")
+        BatchDecodeWithPagedKVCacheWrapper(workspace_buffer, "NHD",
+                use_tensor_cores=(
+                    (num_query_heads//num_kv_heads) not in (1, 2, 4, 8))
+                )
     wrapper.begin_forward(kv_indptr,
                           kv_indices,
                           kv_last_page_lens,
diff --git a/vllm/attention/backends/flashinfer.py b/vllm/attention/backends/flashinfer.py
index 2aa3bd79e4a64..ce7a7198dc400 100644
--- a/vllm/attention/backends/flashinfer.py
+++ b/vllm/attention/backends/flashinfer.py
@@ -113,7 +113,8 @@ def _get_decode_wrapper(self):
                 self.runner.parallel_config))
             num_kv_heads = self.runner.model_config.get_num_kv_heads(
                 self.runner.parallel_config)
-            use_tensor_cores = num_qo_heads // num_kv_heads >= 4
+            use_tensor_cores = (num_qo_heads // num_kv_heads) not in \
+                (1, 2, 4, 8)
             self._decode_wrapper = BatchDecodeWithPagedKVCacheWrapper(
                 self._get_workspace_buffer(),
                 "NHD",
@@ -171,7 +172,8 @@ def graph_capture_get_metadata_for_batch(self, batch_size: int):
             self.runner.parallel_config))
         num_kv_heads = self.runner.model_config.get_num_kv_heads(
             self.runner.parallel_config)
-        use_tensor_cores = num_qo_heads // num_kv_heads >= 4
+        use_tensor_cores = (num_qo_heads // num_kv_heads) not in \
+            (1, 2, 4, 8)
         self._graph_decode_wrapper = \
             CUDAGraphBatchDecodeWithPagedKVCacheWrapper(
             self._graph_decode_workspace_buffer, _indptr_buffer,